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Finding the Third Proportional to 717,608 and 1,156,251

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Solution

The third proportional to 717,608 and 1,156,251 is: 1,863,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,608 : 1,156,251 = 1,156,251 : x
  2. Step 2: Convert to fraction form
    717,608/1,156,251 = 1,156,251/x
  3. Step 3: Cross multiply
    717,608x = 1,156,251 × 1,156,251
  4. Step 4: Simplify right side
    717,608x = 1,336,916,375,001
  5. Step 5: Solve for x
    x = 1,336,916,375,001/717,608
  6. Step 6: Final answer
    x = 1,863,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.